Idioma:

Constrained energy minimization based upscaling for coupled flow and mechanics

Vasilyeva, Maria ; Chung, Eric T. ; Efendiev, Yalchin ; Kim, Jihoon

Journal of computational physics, 2019-01, Vol.376, p.660-674 [Periódico revisado por pares]

Cambridge: Elsevier Inc

Texto completo disponível

Citações Citado por

Enviar para

Título:
Constrained energy minimization based upscaling for coupled flow and mechanics
Autor: Vasilyeva, Maria ; Chung, Eric T. ; Efendiev, Yalchin ; Kim, Jihoon
Assuntos: Approximation ; Basis functions ; Computational physics ; Constrained energy minimization ; Embedded fracture model ; Energy conservation ; Finite element analysis ; Finite element method ; Finite volume method ; Fracture mechanics ; Mathematical models ; Matrix methods ; Mechanics (physics) ; Multiscale methods ; Non-local multicontinuum method ; Optimization ; Poroelasticity ; Porous media ; Scale models ; Two dimensional models ; Upscaling
É parte de: Journal of computational physics, 2019-01, Vol.376, p.660-674
Descrição: In this paper, our aim is to present (1) an embedded fracture model (EFM) for coupled flow and mechanics problem based on the dual continuum approach on the fine grid and (2) an upscaled model for the resulting fine grid equations. The mathematical model is described by the coupled system of equation for displacement, fracture and matrix pressures. For a fine grid approximation, we use the finite volume method for flow problem and finite element method for mechanics. Due to the complexity of fractures, solutions have a variety of scales, and fine grid approximation results in a large discrete system. Our second focus in the construction of the upscaled coarse grid poroelasticity model for fractured media. Our upscaled approach is based on the nonlocal multicontinuum (NLMC) upscaling for coupled flow and mechanics problem, which involves computations of local basis functions via an energy minimization principle. This concept allows a systematic upscaling for processes in the fractured porous media, and provides an effective coarse scale model whose degrees of freedoms have physical meaning. We obtain a fast and accurate solver for the poroelasticity problem on a coarse grid and, at the same time, derive a novel upscaled model. We present numerical results for the two dimensional model problem. •We have developed an embedded fracture model for coupled flow and mechanics problem on the fine grid.•We have designed an accurate and computationally effective fully coarse grid model using nonlocal multicontinuum upscaling.•We have performed numerical results for constrained energy minimization based upscaling of poroelasticity problem.
Editor: Cambridge: Elsevier Inc
Idioma: Inglês

Voltar para lista de resultados

Realização: Logos de Redes Sociais:

Constrained energy minimization based upscaling for coupled flow and mechanics

Vasilyeva, Maria ; Chung, Eric T. ; Efendiev, Yalchin ; Kim, Jihoon

Cambridge: Elsevier Inc

Buscando em bases de dados remotas. Favor aguardar.